SOME PROPERTIES SUBDIRECT SUM OF THE INFINITE CYCLIC ABELIAN GROUPS

Trukhmanov Vyacheslav Borisovich
Arzamas branch of the Lobachevsky State University of Nizhni Novgorod
candidate of physico-mathematical sciences, associate professor

Abstract
In this paper we continue the study of one of the subclasses of the class of Abelian torsion-free groups of rank 2, namely, Abelian groups that are subdirect sum of two infinite cyclical groups inducing a finite cyclic group (such groups are called elementary special). For groups of this subclass are considered properties of generated properties relationship comparison on the set of integers.

Keywords: Abelian group, Abelian torsion-free group, infinite cyclic group, subdirect sum of Abelian groups, the residue class ring, the ring of integers


Category: 01.00.00 Physics and mathematics

Article reference:
Some properties subdirect sum of the infinite cyclic Abelian groups // Modern scientific researches and innovations. 2014. № 10. P. 1 [Electronic journal]. URL: https://web.snauka.ru/en/issues/2014/10/39260

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